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Algebra2D

Combinatorics and Probability - Theory & Concepts - Probability Tree

Fundamental counting principles, permutations, combinations, and basic probability theory.

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Conditional Probability Tree Builder

Probability P(A)0.60
Probability P(B | A)0.80
Probability P(B | A')0.30

Bayes & Total Probability

Total P(B):
P(B)=P(AB)+P(AB)=0.480+0.120=0.600P(B) = P(A \cap B) + P(A' \cap B) = 0.480 + 0.120 = 0.600
Bayes P(A | B):
P(AB)=P(AB)P(B)=0.4800.600=0.800P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.480}{0.600} = 0.800
0.600.400.800.200.300.70AA' (Not A)P(A ∩ B) = 0.480P(A ∩ B') = 0.120P(A' ∩ B) = 0.120P(A' ∩ B') = 0.280
Event A/A'Event BEvent B' (Not B)